This is the most unnecessary nerd comment I’ll ever make on this platform… but
I believe the bell curve wouldn’t represent the expected distribution in this case. I m not entirely sure what would be the correct distribution but I suspect Chi^2 or poisson.
I believe you see the main issue with your experiences - the sample size. With small enough sample you can experience almost anything. Wisdom is knowing what you can and what you cant extrapolate to the entire population